0.2 lies between 0 and  1

\(2.125 =2+\frac{1}{10}+\frac{2}{100}+\frac{5}{1000}=2+\frac{125}{1000} \)
\(=2+\frac{125 \div 25}{1000 \div 25}=2+\frac{5 \div 5}{40 \div 5} \)
\(=2+\frac{1}{8}=\frac{16+1}{8}=\frac{17}{8} \) (Lowest forrn)

\(1 \mathrm{~cm}=\frac{1}{100} m\)
8 m 30 cm = 8 m + 30 cm
\(=8 m+30 \times \frac{1}{100} m=8 m+\frac{30}{100} m\)
= 8 m + 0.3 m = 8.3 m

Total number of students = 26 + 24 = 50
Fraction of boys \(=\frac{26}{50}=\frac{26 \times 2}{50 \times 2} \)
\(=\frac{52}{100}=0.52 \)
Fraction of Girls \(=\frac{24}{50}=\frac{24 \times 2}{50 \times 2} \)
\(=\frac{48}{100}=0.48 \)

\(46.301=46+\frac{301}{1000}=\frac{46000+301}{1000}=\frac{46301}{1000}\)

The whole number parts of the two decimal numbers are equal.
The digits at tenth place are 0 and 3.
3 > 0
7.3 > 7.01
The smaller nurnber is 7.01

Whole number parts are equal
Tenth places are also equal
Digits at hundredth place are 0 and 7
0 < 7
Hence, 0.007 < 0.07
The greater number is 0.07.

\(3.56 =3 \times 1+5 \times \frac{1}{10}+6 \times \frac{1}{100}=3+\frac{5 \times 10+6 \times 1}{100} \)
\(=3+\frac{56}{100}=\frac{300+56}{100}=\frac{356}{100}=\frac{356 \div 4}{100 \div 4} \)
\(=\frac{89}{25} \) (Lowest fraction form)

\(\frac{99}{100} =\frac{90+9}{100}=\frac{90}{100}+\frac{9}{100}=\frac{9}{10}+\frac{9}{100} \)
\(=0+9 \times \frac{1}{10}+9 \times \frac{1}{100}=0.99 \)

6 + \(\frac { 0 }{ 10 } +\frac { 0 }{ 100 } +\frac { 9 }{ 1000 } \)
= \(6+0\times \cfrac { 1 }{ 10 } +0\cfrac { 1 }{ 100 } +9\times \cfrac { 1 }{ 1000 } \) 
= 6.009 

\(=3 \times 10+7 \times 1+3 \times \frac{1}{10}\) (expanded form)
(OR)
= 3 x 10¹ + 7 x 10^o + 3 x 10^-1 (powers often)

.8 cm 9 mm = 8 cm + 9 mm
= 8 cm + 9 x 1 mm
\(=8 \mathrm{~cm}+9 \times \frac{1}{10} \mathrm{~cm}=8 \mathrm{~cm}+\frac{9}{10} \mathrm{~cm}\)
= 8 cm + 0.9 cm = 8.9 cm

\(1 \mathrm{~mm}=\frac{1}{10} \mathrm{~cm}=0.1 \mathrm{~cm}\)
5 mm = 5 x 1 mm
\(=5 \times \frac{1}{10} \mathrm{~cm}=\frac{5}{10} \mathrm{~cm}\)
5 mm = 0.5 cm